THE PHILOSOPHY OF MATHEMATICS: DEVELOPED FROM THREE FUNDAMENTAL PROCESSES OF SYNTHESIS, ANALYSIS & COMPARISON

By ISABELLA JOHNSON

CONTENTS HISTORICAL REMARKS ON SUSLIN’S PROBLEM THE CONTINUUM HYPOTHESIS, THE GENERIC-MULTIVERSE OF SETS, AND THE CONJECTURE ?-MODELS OF ?NITE SET THEORY TENNENBAUM’S THEOREM FOR MODELS OF ARITHMETIC HIERARCHIES OF SUBSYSTEMS OF WEAK ARITHMETIC DIOPHANTINE CORRECT OPEN INDUCTION TENNENBAUM’S THEOREM AND RECURSIVE REDUCTS HISTORY OF CONSTRUCTIVISM IN THE 20TH CENTURY A VERY SHORT HISTORY OF ULTRA?NITISM STANLEY TENNENBAUM’S SOCRATES TENNENBAUM’S PROOF OF THE IRRATIONALITY OF ?